Local boundedness and higher integrability for the sub-critical singular porous medium system
Abstract The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the critical and sub-critical, singular case and complete the program.
Authors
- Verena Bögelein (ORCID: https://orcid.org/0000-0002-5646-2023)
- Naian Liao (ORCID: https://orcid.org/0000-0003-2378-148X)
- Ugo Gianazza (ORCID: https://orcid.org/0000-0003-2558-560X)
- Frank Duzaar (ORCID: https://orcid.org/0000-0002-6643-1634)
Institutions
- University of Salzburg (AT)
- University of Pavia (IT)
Publication Details
- Journal
- Mathematische Annalen
- Published
- 2025-05-02
- DOI
- https://doi.org/10.1007/s00208-025-03160-3
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Austrian Science Fund
- Universität Salzburg
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni